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When the extension property does not hold for vector space alphabets (1512.06065v1)
Published 18 Dec 2015 in cs.IT, math.CO, and math.IT
Abstract: In our paper we characterized the extension property for symmetrized weight composition for linear codes over a module alphabet. Several improvements for the case of vector space alphabets are given in this paper. A detailed description of the property of $G$-pseudo-injectivity for vector spaces is made.